Tribonacci-Lucas Sequence Spaces

Öz

In this work, we basically define new sequence spaces using Tribonacci-Lucas numbers. Then, we give some inclusion relations by examining some topological properties of these spaces. We also characterize some matrix classes by calculating the Köthe-Toeplitz duals of our space. Finally, we examine whether our space has geometric properties such as uniform convexity, strict convexity, and superreflexivity.

Anahtar Kelimeler

• Tribonacci-Lucas numbers
• Squence space
• Schauder basis
• Köthe-Toeplitz duals
• Matrix transformation
• Uniform convexity

Tribonacci-Lucas Dizi Uzayları

Öz

Bu araştırmada, temel olarak Tribonacci-Lucas sayılarını kullanarak yeni dizi uzayları tanımlıyoruz. Daha sonra bu uzayın bazı topolojik özelliklerini inceleyerek, bazı kapsama bağıntıları veriyoruz. Ayrıca uzayımızın Köthe-Toeplitz duallerini hesaplayarak, bazı matris sınıflarını karakterize ediyoruz. Son olarak, uzayımızın düzgün konvekslik, kesin konvekslik, süper yansımalılık gibi geometrik özelliklere sahip olup olmadığını inceliyoruz.

Anahtar Kelimeler

• Tribonacci-Lucas sayıları
• Dizi uzayı
• Schauder bazı
• Köthe-Toeplitz dualleri
• Matris dönüşümü
• Düzgün konvekslik

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